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Finding the Fourth Proportional to 23,105.80, 34,658.70 and 20,189.80

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Solution

The fourth proportional to 23,105.80, 34,658.70 and 20,189.80 is: 30,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.80 : 34,658.70 = 20,189.80 : x
  2. Step 2: Convert to fraction form
    23,105.80/34,658.70 = 20,189.80/x
  3. Step 3: Cross multiply
    23,105.80x = 34,658.70 × 20,189.80
  4. Step 4: Simplify right side
    23,105.80x = 699,752,221.26
  5. Step 5: Solve for x
    x = 699,752,221.26/23,105.80
  6. Step 6: Final answer
    x = 30,284.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.